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Finding the Third Proportional to 16,641 and 36,199

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Solution

The third proportional to 16,641 and 36,199 is: 78,743.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,641 : 36,199 = 36,199 : x
  2. Step 2: Convert to fraction form
    16,641/36,199 = 36,199/x
  3. Step 3: Cross multiply
    16,641x = 36,199 × 36,199
  4. Step 4: Simplify right side
    16,641x = 1,310,367,601
  5. Step 5: Solve for x
    x = 1,310,367,601/16,641
  6. Step 6: Final answer
    x = 78,743.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.